The monthly view is where your macro, or your big picture, schedule goes. Deadlines, due dates, travel plans, ANYTHING at all that you need to have a birds eye view of. (If that includes details like your dentist appointment at 2pm on a Tuesday, then so be it, but I would save details like that for the shorter pages.)
The weekly view is where you micro, or detailed, schedule and tasks go. These can be things associated to the items on your monthly view - they are the details of that view. These can also be things that stand alone - meetings, schedule, task items that happen in your daily life.
Check out this reel (and the "month vs week" highlight on our IG channel) for details on this.
As with all of our planners, these definitions are fluid. You can be like Nancy and include details in your monthly view (like that dentist appointment) and use the short pages to echo those details and include detailed tasks, you can be like Mabby and use the monthly view for your family's schedule and the weekly pages for your daily task lists, you can be like Laurel and use the monthly view for your marketing schedule and the weekly pages for your time blocked schedule and daily task list, or like many of the users out there who have found their best way. The recommendation above is the most overarching and basic use and will help you to get started with your Laurel Denise planner.